268751457300 has 144 divisors (see below), whose sum is σ = 805933694720. Its totient is φ = 69090071040.

The previous prime is 268751457281. The next prime is 268751457307. The reversal of 268751457300 is 3754157862.

268751457300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 268751457300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268751457307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1098837 + ... + 1320963.

Almost surely, 2^268751457300 is an apocalyptic number.

268751457300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268751457300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402966847360).

268751457300 is an abundant number, since it is smaller than the sum of its proper divisors (537182237420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

268751457300 is a wasteful number, since it uses less digits than its factorization.

268751457300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222290 (or 222283 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 268751457300 in words is "two hundred sixty-eight billion, seven hundred fifty-one million, four hundred fifty-seven thousand, three hundred".